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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Constructing the virtual fundamental cycle

## Constructing the virtual fundamental cycleAdd to your list(s) Download to your calendar using vCal - Dusa McDuff (Barnard College)
- Thursday 17 August 2017, 15:30-16:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. SYGW05 - Symplectic geometry - celebrating the work of Simon Donaldson Consider a space $X$, such as a compact space of $J$-holomorphic stable maps with closed domain, that is the zero set of a Fredholm operator. This note explains how to define the virtual fundamental class of $X$ starting from a finite dimensional reduction in the form of a Kuranishi atlas, by representing $X$ as the zero set of a section of a (topological) orbibundle that is constructed from the atlas. Throughout we assume that the atlas satisfies Pardon's topological version of the index condition that can be obtained from a standard, rather than a smooth, gluing theorem. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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